{
  "id": "1006.5871",
  "version": "v1",
  "published": "2010-06-30T14:58:55.000Z",
  "updated": "2010-06-30T14:58:55.000Z",
  "title": "Regularity of Bound States",
  "authors": [
    "J. Faupin",
    "J. S. Møller",
    "E. Skibsted"
  ],
  "comment": "70 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint operator $H$, with respect to an auxiliary operator $A$ that is conjugate to $H$ in the sense of Mourre. We work within the framework of singular Mourre theory which enables us to deal with confined massless Pauli-Fierz models, our primary example, and many-body AC-Stark Hamiltonians. In the simpler context of regular Mourre theory our results boils down to an improvement of results obtained recently in \\cite{CGH}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-30T14:58:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bound states",
      "singular mourre theory",
      "many-body ac-stark hamiltonians",
      "regular mourre theory",
      "self-adjoint operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0129055X11004333",
      "journal": "Reviews in Mathematical Physics",
      "year": 2011,
      "volume": 23,
      "number": 5,
      "pages": 453
    },
    "note": {
      "typesetting": "TeX",
      "pages": 70,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011RvMaP..23..453F"
    }
  }
}